Initial online application with video portion, 30 minute phone call, 60 minute skype call with two interviewers. The online application was fairly simple, and included questions both about my qualifications and academic/work history as well as questions designed to understand ideological affiliation. The phone call and skype calls drew heavily from that initial application. The questions were not designed to trick you, although you do need to have a relatively solid understanding of US politics and public policy issues in order to be successful.

The application is long - you must create videos explaining all your positions on policy. Then there is a phone interview with a recruiter, and then a skype interview with two people who manage the Koch Associate program who also happen to be going through the program as well. I got the impression they're looking more for personality matches than anything else.